Here are the badges that I have collected from the RE League.
LAND ACROSS THE SEA
Gyms that I beat that have no badge image:
Zephyr
Pyroforce
Digital
Mystic
DragonSlayer
Matrix
IceWater
FlameOfLight
Multicolor
LEGEND OF THE GILDED JEWEL
Gyms that I beat that have no badge image:
DragonStar
FallenStar
DragonSlayer
Lestatian